﻿// Copyright 2011 David Galles, University of San Francisco. All rights reserved.
//
// Redistribution and use in source and binary forms, with or without modification, are
// permitted provided that the following conditions are met:
//
// 1. Redistributions of source code must retain the above copyright notice, this list of
// conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright notice, this list
// of conditions and the following disclaimer in the documentation and/or other materials
// provided with the distribution.
//
// THIS SOFTWARE IS PROVIDED BY <COPYRIGHT HOLDER> ``AS IS'' AND ANY EXPRESS OR IMPLIED
// WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
// FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL <COPYRIGHT HOLDER> OR
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
// SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
// ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
// ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// The views and conclusions contained in the software and documentation are those of the
// authors and should not be interpreted as representing official policies, either expressed
// or implied, of the University of San Francisco


function DPLCS(am, w, h) {
    this.init(am, w, h);

}

DPLCS.prototype = new Algorithm();
DPLCS.prototype.constructor = DPLCS;
DPLCS.superclass = Algorithm.prototype;

DPLCS.TABLE_ELEM_WIDTH = 40;
DPLCS.TABLE_ELEM_HEIGHT = 30;

DPLCS.TABLE_START_X = 500;
DPLCS.TABLE_START_Y = 80;


DPLCS.TABLE_DIFF_X = 100;

DPLCS.CODE_START_X = 10;
DPLCS.CODE_START_Y = 10;
DPLCS.CODE_LINE_HEIGHT = 14;

DPLCS.RECURSIVE_START_X = 20;
DPLCS.RECURSIVE_START_Y = 120;
DPLCS.RECURSIVE_DELTA_Y = 14;
DPLCS.RECURSIVE_DELTA_X = 15;
DPLCS.CODE_HIGHLIGHT_COLOR = "#FF0000";
DPLCS.CODE_STANDARD_COLOR = "#000000";
DPLCS.MAX_SEQUENCE_LENGTH = 15;

DPLCS.TABLE_INDEX_COLOR = "#0000FF"
DPLCS.CODE_RECURSIVE_1_COLOR = "#339933";
DPLCS.CODE_RECURSIVE_2_COLOR = "#0099FF";

DPLCS.SEQUENCE_START_X = 30;
DPLCS.SEQUENCE_START_Y = 180;
DPLCS.SEQUENCE_DELTA_X = 10;


DPLCS.MAX_VALUE = 20;

DPLCS.MESSAGE_ID = 0;

DPLCS.prototype.init = function (am, w, h) {
    DPLCS.superclass.init.call(this, am, w, h);
    this.nextIndex = 0;
    this.addControls();
    this.code = [["def ", "LCS(S1, S2, x, y)", ":"],
        ["     if (", "(x == -1) ", " or ", "(y == -1)", ")"],
        ["          return 0"],
        ["     else if ", "(S1[x] == S2[y])"],
        ["          return 1 + ", "LCS(S1, S2, x-1, y-1)"],
        ["     else"],
        ["          return max(", "LCS(S1, S2, x-1, y)", ",", "LCS(S1, S2, x, y-1)", ")"]];

    this.codeID = Array(this.code.length);
    var i, j;
    for (i = 0; i < this.code.length; i++) {
        this.codeID[i] = new Array(this.code[i].length);
        for (j = 0; j < this.code[i].length; j++) {
            this.codeID[i][j] = this.nextIndex++;
            this.cmd("CreateLabel", this.codeID[i][j], this.code[i][j], DPLCS.CODE_START_X, DPLCS.CODE_START_Y + i * DPLCS.CODE_LINE_HEIGHT, 0);
            this.cmd("SetForegroundColor", this.codeID[i][j], DPLCS.CODE_STANDARD_COLOR);
            if (j > 0) {
                this.cmd("AlignRight", this.codeID[i][j], this.codeID[i][j - 1]);
            }
        }


    }

    this.animationManager.StartNewAnimation(this.commands);
    this.animationManager.skipForward();
    this.animationManager.clearHistory();
    this.initialIndex = this.nextIndex;
    this.oldIDs = [];
    this.commands = [];
}


DPLCS.prototype.addControls = function () {
    this.controls = [];
    addLabelToAlgorithmBar("S1:");
    this.S1Field = addControlToAlgorithmBar("Text", "");
    this.S1Field.onkeydown = this.returnSubmit(this.S1Field, this.emptyCallback.bind(this), DPLCS.MAX_SEQUENCE_LENGTH, false);
    this.controls.push(this.S1Field);

    addLabelToAlgorithmBar("S2:");
    this.S2Field = addControlToAlgorithmBar("Text", "");
    this.S2Field.onkeydown = this.returnSubmit(this.S2Field, this.emptyCallback.bind(this), DPLCS.MAX_SEQUENCE_LENGTH, false);
    this.controls.push(this.S2Field);

    this.recursiveButton = addControlToAlgorithmBar("Button", "LCS Recursive");
    this.recursiveButton.onclick = this.recursiveCallback.bind(this);
    this.controls.push(this.recursiveButton);

    this.tableButton = addControlToAlgorithmBar("Button", "LCS Table");
    this.tableButton.onclick = this.tableCallback.bind(this);
    this.controls.push(this.tableButton);

    this.memoizedButton = addControlToAlgorithmBar("Button", "LCS Memoized");
    this.memoizedButton.onclick = this.memoizedCallback.bind(this);
    this.controls.push(this.memoizedButton);

}


DPLCS.prototype.buildTable = function (S1, S2) {
    var x = S1.length;
    var y = S2.length;
    this.tableID = new Array(x + 1);
    this.tableVals = new Array(x + 1);
    this.tableXPos = new Array(x + 1);
    this.tableYPos = new Array(x + 1);

    var i, j;
    var sequence1ID = new Array(x);
    var sequence2ID = new Array(y);

    this.S1TableID = new Array(x);
    for (i = 0; i <= x; i++) {
        if (i > 0) {
            this.S1TableID[i - 1] = this.nextIndex++;
            this.cmd("CreateLabel", this.S1TableID[i - 1], S1.charAt(i - 1), DPLCS.TABLE_START_X + i * DPLCS.TABLE_ELEM_WIDTH, DPLCS.TABLE_START_Y - 2 * DPLCS.TABLE_ELEM_HEIGHT);
            this.oldIDs.push(this.S1TableID[i - 1]);
        }
        var index = this.nextIndex++;
        this.oldIDs.push(index);
        this.cmd("CreateLabel", index, i - 1, DPLCS.TABLE_START_X + i * DPLCS.TABLE_ELEM_WIDTH, DPLCS.TABLE_START_Y - 1 * DPLCS.TABLE_ELEM_HEIGHT);
        this.cmd("SetForegroundColor", index, "#0000FF");

    }


    this.S2TableID = new Array(y);
    for (i = 0; i <= y; i++) {
        if (i > 0) {
            this.S2TableID[i - 1] = this.nextIndex++;
            this.cmd("CreateLabel", this.S2TableID[i - 1], S2.charAt(i - 1), DPLCS.TABLE_START_X - 2 * DPLCS.TABLE_ELEM_WIDTH, DPLCS.TABLE_START_Y + i * DPLCS.TABLE_ELEM_HEIGHT);
            this.oldIDs.push(this.S2TableID[i - 1]);
        }
        var index = this.nextIndex++;
        this.oldIDs.push(index);
        this.cmd("CreateLabel", index, i - 1, DPLCS.TABLE_START_X - 1 * DPLCS.TABLE_ELEM_WIDTH, DPLCS.TABLE_START_Y + i * DPLCS.TABLE_ELEM_HEIGHT);
        this.cmd("SetForegroundColor", index, "#0000FF");
    }


    for (i = 0; i <= x; i++) {
        this.tableID[i] = new Array(y + 1);
        this.tableVals[i] = new Array(y + 1);
        this.tableXPos[i] = new Array(y + 1);
        this.tableYPos[i] = new Array(y + 1);

        for (j = 0; j <= y; j++) {
            this.tableID[i][j] = this.nextIndex++;
            this.tableVals[i][j] = -1;
            this.oldIDs.push(this.tableID[i][j]);

            this.tableXPos[i][j] = DPLCS.TABLE_START_X + i * DPLCS.TABLE_ELEM_WIDTH;
            this.tableYPos[i][j] = DPLCS.TABLE_START_Y + j * DPLCS.TABLE_ELEM_HEIGHT;

            this.cmd("CreateRectangle", this.tableID[i][j],
                "",
                DPLCS.TABLE_ELEM_WIDTH,
                DPLCS.TABLE_ELEM_HEIGHT,
                this.tableXPos[i][j],
                this.tableYPos[i][j]);

        }

    }
}

DPLCS.prototype.clearOldIDs = function () {
    for (var i = 0; i < this.oldIDs.length; i++) {
        this.cmd("Delete", this.oldIDs[i]);
    }
    this.oldIDs = [];
    this.nextIndex = this.initialIndex;

}


DPLCS.prototype.reset = function () {
    this.oldIDs = [];
    this.nextIndex = this.initialIndex;
}


DPLCS.prototype.emptyCallback = function (event) {
    this.implementAction(this.helpMessage.bind(this), "");
    // TODO:  Put up a message to push the appropriate button?

}

DPLCS.prototype.recursiveCallback = function (event) {
    var fibValue;

    if (this.S1Field.value != "" && this.S2Field.value != "") {
        this.implementAction(this.recursiveLCS.bind(this), this.S1Field.value + ";" + this.S2Field.value);
    } else {
        this.implementAction(this.helpMessage.bind(this), "");
    }
}


DPLCS.prototype.tableCallback = function (event) {
    var fibValue;


    if (this.S1Field.value != "" && this.S2Field.value != "") {
        this.implementAction(this.tableLCS.bind(this), this.S1Field.value + ";" + this.S2Field.value);
    } else {
        this.implementAction(this.helpMessage.bind(this), "");
    }

}


DPLCS.prototype.memoizedCallback = function (event) {
    var fibValue;


    if (this.S1Field.value != "" && this.S2Field.value != "") {
        this.implementAction(this.memoizedLCS.bind(this), this.S1Field.value + ";" + this.S2Field.value);
    } else {
        this.implementAction(this.helpMessage.bind(this), "");
    }

}

DPLCS.prototype.helpMessage = function (value) {
    this.commands = [];

    this.clearOldIDs();

    var messageID = this.nextIndex++;
    this.oldIDs.push(messageID);
    this.cmd("CreateLabel", messageID,
        "Enter two sequences in the text fields.\n" +
        "Then press the LCS Recursive, LCS Table, or LCS Memoized button",
        DPLCS.RECURSIVE_START_X, DPLCS.RECURSIVE_START_Y, 0);
    return this.commands;


}


DPLCS.prototype.recursiveLCS = function (value) {
    this.commands = [];

    var sequences = value.split(";");


    this.clearOldIDs();

    this.currentY = DPLCS.RECURSIVE_START_Y;

    var functionCallID = this.nextIndex++;
    this.oldIDs.push(functionCallID);
    var final = this.LCS(sequences[0], sequences[1], sequences[0].length - 1, sequences[1].length - 1, DPLCS.RECURSIVE_START_X, functionCallID);
    this.cmd("SetText", functionCallID, "LCS(" + sequences[0] + ", " + sequences[1] + ", " + String(sequences[0].length - 1) + ", " + String(sequences[1].length - 1) + ") = " + String(final));
    return this.commands;
}


DPLCS.prototype.LCS = function (S1, S2, x, y, xPos, ID) {
    var ID2 = this.nextIndex++;
    this.cmd("CreateLabel", ID, "LCS(" + S1 + ", " + S2 + ", " + String(x) + ", " + String(y) + ")", xPos, this.currentY, 0);
    this.cmd("CreateLabel", ID2, "        [LCS(" + S1.substring(0, x + 1) + "," + S2.substring(0, y + 1) + ")]");
    this.cmd("SetForegroundColor", ID2, "#3333FF");
    this.cmd("AlignRight", ID2, ID);
    this.cmd("SetForegroundColor", this.codeID[0][1], DPLCS.CODE_HIGHLIGHT_COLOR);
    this.cmd("Step");
    this.cmd("SetForegroundColor", this.codeID[0][1], DPLCS.CODE_STANDARD_COLOR);

    if (x == -1 || y == -1) {
        if (x == -1) {
            this.cmd("SetForegroundColor", this.codeID[1][1], DPLCS.CODE_HIGHLIGHT_COLOR);

        }
        if (y == -1) {
            this.cmd("SetForegroundColor", this.codeID[1][3], DPLCS.CODE_HIGHLIGHT_COLOR);

        }
        this.cmd("Step");
        if (x == -1) {
            this.cmd("SetForegroundColor", this.codeID[1][1], DPLCS.CODE_STANDARD_COLOR);

        }
        if (y == -1) {
            this.cmd("SetForegroundColor", this.codeID[1][3], DPLCS.CODE_STANDARD_COLOR);
        }
        this.cmd("SetForegroundColor", this.codeID[2][0], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("SetText", ID, 0);
        this.cmd("Delete", ID2);
        this.cmd("Step");
        this.cmd("SetForegroundColor", this.codeID[2][0], DPLCS.CODE_STANDARD_COLOR);
        return 0;
    }
    this.cmd("SetForegroundColor", this.codeID[3][1], DPLCS.CODE_HIGHLIGHT_COLOR);
    this.cmd("Step");
    this.cmd("SetForegroundColor", this.codeID[3][1], DPLCS.CODE_STANDARD_COLOR);

    if (S1.charAt(x) == S2.charAt(y)) {

        this.cmd("SetForegroundColor", this.codeID[4][1], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("Step");
        this.cmd("SetForegroundColor", this.codeID[4][1], DPLCS.CODE_STANDARD_COLOR);

        var nextID = this.nextIndex++;
        this.currentY += DPLCS.RECURSIVE_DELTA_Y;
        var subProb = this.LCS(S1, S2, x - 1, y - 1, xPos + DPLCS.RECURSIVE_DELTA_X, nextID);


        this.cmd("SetForegroundColor", this.codeID[4][0], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("Step");
        this.cmd("SetForegroundColor", this.codeID[4][0], DPLCS.CODE_STANDARD_COLOR);


        this.cmd("Delete", nextID);
        this.cmd("SetText", ID, subProb + 1);
        this.cmd("Delete", ID2);
        this.cmd("step");
        this.currentY -= DPLCS.RECURSIVE_DELTA_Y;
        return subProb + 1
    } else {
        var firstID = this.nextIndex++;
        var secondID = this.nextIndex++;
        this.currentY += DPLCS.RECURSIVE_DELTA_Y;
        this.cmd("SetForegroundColor", this.codeID[6][1], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("Step");
        this.cmd("SetForegroundColor", this.codeID[6][1], DPLCS.CODE_STANDARD_COLOR);

        var subProb1 = this.LCS(S1, S2, x - 1, y, xPos + DPLCS.RECURSIVE_DELTA_X, firstID);
        this.currentY += DPLCS.RECURSIVE_DELTA_Y;
        this.cmd("SetForegroundColor", this.codeID[6][3], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("Step");
        this.cmd("SetForegroundColor", this.codeID[6][3], DPLCS.CODE_STANDARD_COLOR);

        var subProb2 = this.LCS(S1, S2, x, y - 1, xPos + DPLCS.RECURSIVE_DELTA_X, secondID);

        this.cmd("SetForegroundColor", this.codeID[6][0], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("SetForegroundColor", this.codeID[6][2], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("SetForegroundColor", this.codeID[6][4], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("Step");
        this.cmd("SetForegroundColor", this.codeID[6][0], DPLCS.CODE_STANDARD_COLOR);
        this.cmd("SetForegroundColor", this.codeID[6][2], DPLCS.CODE_STANDARD_COLOR);
        this.cmd("SetForegroundColor", this.codeID[6][4], DPLCS.CODE_STANDARD_COLOR);
        this.cmd("Delete", firstID);
        this.cmd("Delete", secondID);
        this.currentY -= 2 * DPLCS.RECURSIVE_DELTA_Y;
        var best = Math.max(subProb1, subProb2);
        this.cmd("SetText", ID, best);
        this.cmd("Delete", ID2);
        this.cmd("step");
        return best;
    }
}

DPLCS.prototype.buildLCSFromTable = function (S1, S2) {
    var currX = this.tableVals.length - 1;
    var currY = this.tableVals[0].length - 1;

    var sequence = [];

    var header = this.nextIndex++;
    this.oldIDs.push(header);
    this.cmd("CreateLabel", header, "Sequence", DPLCS.SEQUENCE_START_X, DPLCS.SEQUENCE_START_Y - 30, 0);
    this.cmd("SetForegroundColor", header, "#003300");

    while (currX > 0 && currY > 0) {
        this.cmd("SetHighlight", this.tableID[currX][currY], 1);
        this.cmd("Step");
        this.cmd("SetHighlight", this.S1TableID[currX - 1], 1);
        this.cmd("SetHighlight", this.S2TableID[currY - 1], 1);
        this.cmd("Step");
        this.cmd("SetHighlight", this.S1TableID[currX - 1], 0);
        this.cmd("SetHighlight", this.S2TableID[currY - 1], 0);
        this.cmd("SetHighlight", this.tableID[currX][currY], 0);

        if (S1.charAt(currX - 1) == S2.charAt(currY - 1)) {
            var nextSequenceID = this.nextIndex++;
            this.oldIDs.push(nextSequenceID);
            sequence.push(nextSequenceID);
            this.cmd("CreateLabel", nextSequenceID, S1.charAt(currX - 1), DPLCS.TABLE_START_X + currX * DPLCS.TABLE_ELEM_WIDTH, DPLCS.TABLE_START_Y - 2 * DPLCS.TABLE_ELEM_HEIGHT);
            this.cmd("SetForegroundColor", nextSequenceID, "#0000FF");

            for (var i = sequence.length - 1; i >= 0; i--) {
                this.cmd("Move", sequence[i], DPLCS.SEQUENCE_START_X + (sequence.length - 1 - i) * DPLCS.SEQUENCE_DELTA_X, DPLCS.SEQUENCE_START_Y);
            }

            currX = currX - 1;
            currY = currY - 1;
        } else {
            this.cmd("SetHighlight", this.tableID[currX - 1][currY], 1);
            this.cmd("SetHighlight", this.tableID[currX][currY - 1], 1);
            this.cmd("Step");
            this.cmd("SetHighlight", this.tableID[currX - 1][currY], 0);
            this.cmd("SetHighlight", this.tableID[currX][currY - 1], 0);

            if (this.tableVals[currX - 1][currY] > this.tableVals[currX][currY - 1]) {
                currX = currX - 1;
            } else {
                currY = currY - 1;

            }
        }

    }


}


DPLCS.prototype.tableLCS = function (value) {
    this.commands = [];
    this.clearOldIDs();

    var sequences = value.split(";");

    this.buildTable(sequences[0], sequences[1]);

    var moveID = this.nextIndex++;
    var x = sequences[0].length;
    var y = sequences[1].length;
    var i, j;

    for (i = 0; i <= x; i++) {
        this.cmd("SetText", this.tableID[i][0], "0");
        this.tableVals[i][0] = 0;
    }
    for (i = 0; i <= y; i++) {
        this.cmd("SetText", this.tableID[0][i], "0");
        this.tableVals[0][i] = 0;
    }
    this.cmd("Step");
    for (j = 0; j < y; j++) {
        for (i = 0; i < x; i++) {
            this.cmd("SetHighlight", this.tableID[i + 1][j + 1], 1);
            this.cmd("SetHighlight", this.S1TableID[i], 1);
            this.cmd("SetHighlight", this.S2TableID[j], 1);
            this.cmd("SetForegroundColor", this.codeID[3][1], DPLCS.CODE_HIGHLIGHT_COLOR);
            this.cmd("Step")
            this.cmd("SetHighlight", this.S1TableID[i], 0);
            this.cmd("SetHighlight", this.S2TableID[j], 0);
            this.cmd("SetForegroundColor", this.codeID[3][1], DPLCS.CODE_STANDARD_COLOR);
            if (sequences[0].charAt(i) == sequences[1].charAt(j)) {
                this.cmd("SetForegroundColor", this.codeID[4][0], DPLCS.CODE_HIGHLIGHT_COLOR);
                this.cmd("SetForegroundColor", this.codeID[4][1], DPLCS.CODE_HIGHLIGHT_COLOR);
                this.cmd("SetHighlight", this.tableID[i + 1 - 1][j + 1 - 1], 1);
                this.cmd("Step");
                this.cmd("CreateLabel", moveID, this.tableVals[i][j] + 1, this.tableXPos[i][j], this.tableYPos[i][j]);
                this.cmd("Move", moveID, this.tableXPos[i + 1][j + 1], this.tableYPos[i + 1][j + 1]);
                this.cmd("Step");
                this.cmd("Delete", moveID);
                this.cmd("SetForegroundColor", this.codeID[4][0], DPLCS.CODE_STANDARD_COLOR);
                this.cmd("SetForegroundColor", this.codeID[4][1], DPLCS.CODE_STANDARD_COLOR);
                this.cmd("SetHighlight", this.tableID[i + 1 - 1][j + 1 - 1], 0);
                this.tableVals[i + 1][j + 1] = this.tableVals[i][j] + 1;
                this.cmd("SetText", this.tableID[i + 1][j + 1], this.tableVals[i + 1][j + 1]);
            } else {
                this.cmd("SetForegroundColor", this.codeID[6][0], DPLCS.CODE_HIGHLIGHT_COLOR);
                this.cmd("SetForegroundColor", this.codeID[6][1], DPLCS.CODE_HIGHLIGHT_COLOR);
                this.cmd("SetForegroundColor", this.codeID[6][2], DPLCS.CODE_HIGHLIGHT_COLOR);
                this.cmd("SetForegroundColor", this.codeID[6][3], DPLCS.CODE_HIGHLIGHT_COLOR);
                this.cmd("SetForegroundColor", this.codeID[6][4], DPLCS.CODE_HIGHLIGHT_COLOR);

                this.cmd("SetHighlight", this.tableID[i][j + 1], 1);
                this.cmd("SetHighlight", this.tableID[i + 1][j], 1);
                this.cmd("Step");
                this.cmd("SetForegroundColor", this.codeID[6][0], DPLCS.CODE_STANDARD_COLOR);
                this.cmd("SetForegroundColor", this.codeID[6][2], DPLCS.CODE_STANDARD_COLOR);
                this.cmd("SetForegroundColor", this.codeID[6][4], DPLCS.CODE_STANDARD_COLOR);

                if (this.tableVals[i][j + 1] > this.tableVals[i + 1][j]) {
                    this.cmd("SetHighlight", this.tableID[i + 1][j], 0);
                    this.cmd("SetForegroundColor", this.codeID[6][3], DPLCS.CODE_STANDARD_COLOR);

                    this.tableVals[i + 1][j + 1] = this.tableVals[i][j + 1];
                    this.cmd("CreateLabel", moveID, this.tableVals[i][j + 1], this.tableXPos[i][j + 1], this.tableYPos[i][j + 1]);

                } else {
                    this.cmd("SetForegroundColor", this.codeID[6][1], DPLCS.CODE_STANDARD_COLOR);
                    this.cmd("SetHighlight", this.tableID[i][j + 1], 0);
                    this.tableVals[i + 1][j + 1] = this.tableVals[i + 1][j];
                    this.cmd("CreateLabel", moveID, this.tableVals[i + 1][j], this.tableXPos[i + 1][j], this.tableYPos[i + 1][j]);
                }
                this.cmd("Move", moveID, this.tableXPos[i + 1][j + 1], this.tableYPos[i + 1][j + 1]);
                this.cmd("Step");
                this.cmd("SetText", this.tableID[i + 1][j + 1], this.tableVals[i + 1][j + 1]);
                this.cmd("Delete", moveID);
                if (this.tableVals[i][j + 1] > this.tableVals[i + 1][j]) {
                    this.cmd("SetForegroundColor", this.codeID[6][1], DPLCS.CODE_STANDARD_COLOR);
                    this.cmd("SetHighlight", this.tableID[i][j + 1], 0);
                } else {
                    this.cmd("SetForegroundColor", this.codeID[6][3], DPLCS.CODE_STANDARD_COLOR);
                    this.cmd("SetHighlight", this.tableID[i + 1][j], 0);
                }

            }
            this.cmd("SetHighlight", this.tableID[i + 1][j + 1], 0);
            //this.cmd("Step");

        }
    }
    this.buildLCSFromTable(sequences[0], sequences[1]);
    return this.commands;
}


DPLCS.prototype.LCSMem = function (S1, S2, x, y, xPos, ID) {
    var ID2 = this.nextIndex++;
    this.cmd("CreateLabel", ID, "LCS(" + S1 + ", " + S2 + ", " + String(x) + ", " + String(y) + ")", xPos, this.currentY, 0);
    this.cmd("CreateLabel", ID2, "        [LCS(" + S1.substring(0, x + 1) + "," + S2.substring(0, y + 1) + ")]");
    this.cmd("SetForegroundColor", ID2, "#3333FF");
    this.cmd("AlignRight", ID2, ID);
    this.cmd("SetForegroundColor", this.codeID[0][1], DPLCS.CODE_HIGHLIGHT_COLOR);
    this.cmd("Step");
    this.cmd("SetForegroundColor", this.codeID[0][1], DPLCS.CODE_STANDARD_COLOR);

    if (this.tableVals[x + 1][y + 1] != -1) {
        var movingLabel = this.nextIndex++;
        this.cmd("CreateLabel", movingLabel, this.tableVals[x + 1][y + 1], this.tableXPos[x + 1][y + 1], this.tableYPos[x + 1][y + 1]);
        this.cmd("Move", movingLabel, xPos, this.currentY);
        this.cmd("SetText", ID, "");
        this.cmd("Step");
        this.cmd("Delete", movingLabel);


        this.cmd("SetText", ID, this.tableVals[x + 1][y + 1]);
        this.cmd("Delete", ID2);
        this.cmd("Step");
        return this.tableVals[x + 1][y + 1];
    }


    if (x == -1 || y == -1) {
        if (x == -1) {
            this.cmd("SetForegroundColor", this.codeID[1][1], DPLCS.CODE_HIGHLIGHT_COLOR);

        }
        if (y == -1) {
            this.cmd("SetForegroundColor", this.codeID[1][3], DPLCS.CODE_HIGHLIGHT_COLOR);

        }
        this.cmd("Step");
        if (x == -1) {
            this.cmd("SetForegroundColor", this.codeID[1][1], DPLCS.CODE_STANDARD_COLOR);

        }
        if (y == -1) {
            this.cmd("SetForegroundColor", this.codeID[1][3], DPLCS.CODE_STANDARD_COLOR);
        }
        this.cmd("SetForegroundColor", this.codeID[2][0], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("SetText", ID, 0);
        this.cmd("Delete", ID2);
        this.cmd("Step");
        this.cmd("SetForegroundColor", this.codeID[2][0], DPLCS.CODE_STANDARD_COLOR);


        var movingLabel = this.nextIndex++;
        this.cmd("CreateLabel", movingLabel, 0, xPos, this.currentY);
        this.cmd("Move", movingLabel, this.tableXPos[x + 1][y + 1], this.tableYPos[x + 1][y + 1]);
        this.cmd("Step");
        this.cmd("Delete", movingLabel);

        this.tableVals[x + 1][y + 1] = 0;
        this.cmd("SetText", this.tableID[x + 1][y + 1], 0);


        return 0;
    }
    this.cmd("SetForegroundColor", this.codeID[3][1], DPLCS.CODE_HIGHLIGHT_COLOR);
    this.cmd("Step");
    this.cmd("SetForegroundColor", this.codeID[3][1], DPLCS.CODE_STANDARD_COLOR);

    if (S1.charAt(x) == S2.charAt(y)) {

        this.cmd("SetForegroundColor", this.codeID[4][1], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("Step");
        this.cmd("SetForegroundColor", this.codeID[4][1], DPLCS.CODE_STANDARD_COLOR);

        var nextID = this.nextIndex++;
        this.currentY += DPLCS.RECURSIVE_DELTA_Y;
        var subProb = this.LCSMem(S1, S2, x - 1, y - 1, xPos + DPLCS.RECURSIVE_DELTA_X, nextID);


        this.cmd("SetForegroundColor", this.codeID[4][0], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("Step");
        this.cmd("SetForegroundColor", this.codeID[4][0], DPLCS.CODE_STANDARD_COLOR);


        this.cmd("Delete", nextID);
        this.cmd("SetText", ID, subProb + 1);
        this.cmd("Delete", ID2);
        this.cmd("step");
        this.currentY -= DPLCS.RECURSIVE_DELTA_Y;

        // TODO:  Animate moving value into table here


        var movingLabel = this.nextIndex++;
        this.cmd("CreateLabel", movingLabel, subProb + 1, xPos, this.currentY);
        this.cmd("Move", movingLabel, this.tableXPos[x + 1][y + 1], this.tableYPos[x + 1][y + 1]);
        this.cmd("Step");
        this.cmd("Delete", movingLabel);


        this.tableVals[x + 1][y + 1] = subProb + 1;
        this.cmd("SetText", this.tableID[x + 1][y + 1], subProb + 1);

        return subProb + 1
    } else {
        var firstID = this.nextIndex++;
        var secondID = this.nextIndex++;
        this.currentY += DPLCS.RECURSIVE_DELTA_Y;
        this.cmd("SetForegroundColor", this.codeID[6][1], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("Step");
        this.cmd("SetForegroundColor", this.codeID[6][1], DPLCS.CODE_STANDARD_COLOR);

        var subProb1 = this.LCSMem(S1, S2, x - 1, y, xPos + DPLCS.RECURSIVE_DELTA_X, firstID);
        this.currentY += DPLCS.RECURSIVE_DELTA_Y;
        this.cmd("SetForegroundColor", this.codeID[6][3], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("Step");
        this.cmd("SetForegroundColor", this.codeID[6][3], DPLCS.CODE_STANDARD_COLOR);

        var subProb2 = this.LCSMem(S1, S2, x, y - 1, xPos + DPLCS.RECURSIVE_DELTA_X, secondID);

        this.cmd("SetForegroundColor", this.codeID[6][0], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("SetForegroundColor", this.codeID[6][2], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("SetForegroundColor", this.codeID[6][4], DPLCS.CODE_HIGHLIGHT_COLOR);
        this.cmd("Step");
        this.cmd("SetForegroundColor", this.codeID[6][0], DPLCS.CODE_STANDARD_COLOR);
        this.cmd("SetForegroundColor", this.codeID[6][2], DPLCS.CODE_STANDARD_COLOR);
        this.cmd("SetForegroundColor", this.codeID[6][4], DPLCS.CODE_STANDARD_COLOR);
        this.cmd("Delete", firstID);
        this.cmd("Delete", secondID);
        this.currentY -= 2 * DPLCS.RECURSIVE_DELTA_Y;
        var best = Math.max(subProb1, subProb2);
        this.cmd("SetText", ID, best);
        this.cmd("Delete", ID2);


        var movingLabel = this.nextIndex++;
        this.cmd("CreateLabel", movingLabel, best, xPos, this.currentY);
        this.cmd("Move", movingLabel, this.tableXPos[x + 1][y + 1], this.tableYPos[x + 1][y + 1]);
        this.cmd("Step");
        this.cmd("Delete", movingLabel);


        // TODO:  Animate moving value into table here
        this.tableVals[x + 1][y + 1] = best;
        this.cmd("SetText", this.tableID[x + 1][y + 1], best);


        this.cmd("step");
        return best;
    }
}


DPLCS.prototype.memoizedLCS = function (value) {
    this.commands = [];

    this.clearOldIDs();
    var sequences = value.split(";");

    this.buildTable(sequences[0], sequences[1]);


    var functionCallID = this.nextIndex++;
    this.currentY = DPLCS.RECURSIVE_START_Y;

    this.oldIDs.push(functionCallID);


    var final = this.LCSMem(sequences[0], sequences[1], sequences[0].length - 1, sequences[1].length - 1, DPLCS.RECURSIVE_START_X, functionCallID);

    this.cmd("SetText", functionCallID, "LCS(" + sequences[0] + ", " + sequences[1] + ", " + String(sequences[0].length - 1) + ", " + String(sequences[1].length - 1) + ") = " + String(final));


    this.buildLCSFromTable(sequences[0], sequences[1]);

    return this.commands;
}

DPLCS.prototype.enableUI = function (event) {
    for (var i = 0; i < this.controls.length; i++) {
        this.controls[i].disabled = false;
    }


}
DPLCS.prototype.disableUI = function (event) {
    for (var i = 0; i < this.controls.length; i++) {
        this.controls[i].disabled = true;
    }
}


var currentAlg;

function init() {
    var animManag = initCanvas();
    currentAlg = new DPLCS(animManag, canvas.width, canvas.height);
}



